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Finding the Third Proportional to 119,594.25 and 185,061.38

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Solution

The third proportional to 119,594.25 and 185,061.38 is: 286,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,594.25 : 185,061.38 = 185,061.38 : x
  2. Step 2: Convert to fraction form
    119,594.25/185,061.38 = 185,061.38/x
  3. Step 3: Cross multiply
    119,594.25x = 185,061.38 × 185,061.38
  4. Step 4: Simplify right side
    119,594.25x = 34,247,712,516.89
  5. Step 5: Solve for x
    x = 34,247,712,516.89/119,594.25
  6. Step 6: Final answer
    x = 286,365.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.